Results 11 to 20 of about 15,510,191 (369)
Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves [PDF]
Archive for Rational Mechanics and Analysis, 2020 The seminal work of DiPerna and Lions (Invent Math 98(3):511–547, 1989) guarantees the existence and uniqueness of regular Lagrangian flows for Sobolev vector fields.
Elia Brué +2 more
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On Positivity Sets for Helmholtz Solutions
Vietnam Journal of Mathematics, 2023 AbstractWe address the question of finding global solutions of the Helmholtz equation that are positive in a given set. This question arises in inverse scattering for penetrable obstacles. In particular, we show that there are solutions that are positive on the boundary of a bounded Lipschitz domain.
Pu-Zhao Kow +2 more
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Existence and multiplicity of radially symmetric k-admissible solutions for a k-Hessian equation
Boundary Value Problems, 2022 In this paper, we show that the radially symmetric k-admissible solutions set of a k-Hessian equation Dirichlet problem with homogeneous boundary condition contains a reversed S-shaped connected component.
Liangying Miao, Zhiqian He
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Multiple positive solutions for a Schrödinger logarithmic equation [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2019 This article concerns with the existence of multiple positive solutions for the following logarithmic Schr\"{o}dinger equation $$ \left\{ \begin{array}{lc} -{\epsilon}^2\Delta u+ V(x)u=u \log u^2, & \mbox{in} \quad \mathbb{R}^{N}, \\ %u(x)>0, & \mbox{in}
C. O. Alves, Chao Ji
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Positive Solutions of Difference Equations [PDF]
Proceedings of the American Mathematical Society, 1990 Proceedings of the American Mathematical ...
Philos, C. G., Sficas, Y. G.
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Positive solutions for nonlinear parametric singular Dirichlet problems [PDF]
Bulletin of Mathematical Sciences, 2018 We consider a nonlinear parametric Dirichlet problem driven by the p-Laplace differential operator and a reaction which has the competing effects of a parametric singular term and of a Carathéodory perturbation which is ($$p-1$$p-1)-linear near $$+\infty
N. Papageorgiou +2 more
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, 2020 In this paper, we investigate the existence of positive solutions for the new class of boundary value problems via ψ -Hilfer fractional differential equations.
H. Afshari, E. Karapınar
semanticscholar +1 more source
Solutions and positive solutions for superlinear Robin problems [PDF]
Journal of Mathematical Physics, 2019 We consider nonlinear, nonhomogeneous Robin problems with a (p − 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems. For the particular case of the p-Laplacian, we prove existence results under a different geometry near the origin.
N. S. Papageorgiou, C. Vetro, F. Vetro
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BMC Public Health, 2018 Background Basic needs (e.g., food security and stable housing) are important determinants of health and well-being, yet their impact on health-related quality of life (HRQoL) in the context of HIV and aging has not been systematically investigated ...
Phan Sok +14 more
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Positive periodic solutions of singular systems [PDF]
, 2010 The existence and multiplicity of positive periodic solutions for second order non-autonomous singular dynamical systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter.
Wang, Haiyan
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